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64068576 = 25311132359
BaseRepresentation
bin1111010001100…
…1101111100000
311110120000120020
43310121233200
5112400143301
610205113440
71405400565
oct364315740
9143500506
1064068576
113318a740
1219558880
1310372b00
14871a86c
155958436
hex3d19be0

64068576 has 144 divisors (see below), whose sum is σ = 199221120. Its totient is φ = 17871360.

The previous prime is 64068541. The next prime is 64068577. The reversal of 64068576 is 67586046.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64068577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178285 + ... + 178643.

It is an arithmetic number, because the mean of its divisors is an integer number (1383480).

Almost surely, 264068576 is an apocalyptic number.

64068576 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64068576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99610560).

64068576 is an abundant number, since it is smaller than the sum of its proper divisors (135152544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64068576 is a wasteful number, since it uses less digits than its factorization.

64068576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 64068576 is about 8004.2848525024. The cubic root of 64068576 is about 400.1428156698.

The spelling of 64068576 in words is "sixty-four million, sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 169 176 208 264 286 312 338 352 359 416 429 507 528 572 624 676 718 858 1014 1056 1077 1144 1248 1352 1436 1716 1859 2028 2154 2288 2704 2872 3432 3718 3949 4056 4308 4576 4667 5408 5577 5744 6864 7436 7898 8112 8616 9334 11154 11488 11847 13728 14001 14872 15796 16224 17232 18668 22308 23694 28002 29744 31592 34464 37336 44616 47388 51337 56004 59488 60671 63184 74672 89232 94776 102674 112008 121342 126368 149344 154011 178464 182013 189552 205348 224016 242684 308022 364026 379104 410696 448032 485368 616044 667381 728052 821392 970736 1232088 1334762 1456104 1642784 1941472 2002143 2464176 2669524 2912208 4004286 4928352 5339048 5824416 8008572 10678096 16017144 21356192 32034288 64068576